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Finding the Fourth Proportional to 458.45, 688.01 and 285.37

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Solution

The fourth proportional to 458.45, 688.01 and 285.37 is: 428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.45 : 688.01 = 285.37 : x
  2. Step 2: Convert to fraction form
    458.45/688.01 = 285.37/x
  3. Step 3: Cross multiply
    458.45x = 688.01 × 285.37
  4. Step 4: Simplify right side
    458.45x = 196,336.41
  5. Step 5: Solve for x
    x = 196,336.41/458.45
  6. Step 6: Final answer
    x = 428.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.